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Finding the Fourth Proportional to 213,745.60, 320,635.10 and 71,591.40

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Solution

The fourth proportional to 213,745.60, 320,635.10 and 71,591.40 is: 107,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,745.60 : 320,635.10 = 71,591.40 : x
  2. Step 2: Convert to fraction form
    213,745.60/320,635.10 = 71,591.40/x
  3. Step 3: Cross multiply
    213,745.60x = 320,635.10 × 71,591.40
  4. Step 4: Simplify right side
    213,745.60x = 22,954,715,698.14
  5. Step 5: Solve for x
    x = 22,954,715,698.14/213,745.60
  6. Step 6: Final answer
    x = 107,392.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.